Metamath Proof Explorer


Theorem resqcld

Description: Closure of square in reals. (Contributed by Mario Carneiro, 28-May-2016)

Ref Expression
Hypothesis resqcld.1
|- ( ph -> A e. RR )
Assertion resqcld
|- ( ph -> ( A ^ 2 ) e. RR )

Proof

Step Hyp Ref Expression
1 resqcld.1
 |-  ( ph -> A e. RR )
2 resqcl
 |-  ( A e. RR -> ( A ^ 2 ) e. RR )
3 1 2 syl
 |-  ( ph -> ( A ^ 2 ) e. RR )